Fidelity of robust control in open quantum system with superconducting qubit

Superconducting quantum systems are promising candidates for quantum information processing due to their scalability and design flexibility. However, real quantum systems usually suffer from decoherence caused by environment disturbance. This effect, together with parametric error and un-modelled dynamics, usually leads to uncertainties in system models, which will destroy the system's excellent quantum properties. Therefore, it is significant to study robust control of open quantum system to enhance control performance in reality. In this paper, the control effect based on fidelity of the required robustness is defined using the concept of a sliding mode domain by considering uncertainties. Then, we design control scheme and acquire the corresponding analytical expression of sampling period based on data sampling. Meanwhile, we discuss the selection of sampling operator and quantum state drive in the process of quantum sampling. Furthermore, the influences of coupling constant, cut-off frequency and temperature on the sampling period are analysed.